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Finding the Third Proportional to 349,800.75 and 741,638.25

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Solution

The third proportional to 349,800.75 and 741,638.25 is: 1,572,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,800.75 : 741,638.25 = 741,638.25 : x
  2. Step 2: Convert to fraction form
    349,800.75/741,638.25 = 741,638.25/x
  3. Step 3: Cross multiply
    349,800.75x = 741,638.25 × 741,638.25
  4. Step 4: Simplify right side
    349,800.75x = 550,027,293,863.06
  5. Step 5: Solve for x
    x = 550,027,293,863.06/349,800.75
  6. Step 6: Final answer
    x = 1,572,401.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.